The whole part will be the 4. The fraction part will be the decimal. That converts to the fraction 25/40. Therefore, 4.625 as a mixed number is 4 and 25/40.
It would be better to buy 12 bars for 10 dollars and the rate would be $1.2. The rate for 5 bars would be $1.25.
<u>Answer-</u>
<em>The coordinates of the orthocenter of △JKL is (-4, 8)</em>
<u>Solution-</u>
The orthocenter is the point where all three altitudes of the triangle intersect. An altitude is a line which passes through a vertex of the triangle and is perpendicular to the opposite side.
For a right angle triangle, the vertex at the right angle is the orthocentre of the triangle.
Here we are given the three vertices of the triangle are J(-4,-1), K(-4,8) and L(2,8)
If the triangle JKL satisfies Pythagoras Theorem, then triangle JKL will be a right angle triangle.
Applying distance formula we get,

As,




Therefore, the vertex at K (-4, 8) is the orthocentre.
Prob of tails times prob of rolling more than 3
0.5 × 0.5 = 0.25
25%
Answer:
Maria's string is 45 cm long and Katy's string is 39 cm long
Step-by-step explanation:
Let's call the size of Maria's string X, and the size of Katy's string Y.
So, using the information from the problem, we can formulate a system of equations:
If Maria's string is 6 cm longer than Katy's, so:
X = Y + 6
If the strings together have 84 cm, so:
X + Y = 84
The first equation can be rewritten as X - Y = 6
Summing up both equation, we have that:
2X = 90
X = 45
Using X value in the first equation, we have that:
45 = Y + 6
Y = 39
So, Maria's string is 45 cm long and Katy's string is 39 cm long